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Finding the Fourth Proportional to 497.52, 685.78 and 392.43

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Solution

The fourth proportional to 497.52, 685.78 and 392.43 is: 540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 685.78 = 392.43 : x
  2. Step 2: Convert to fraction form
    497.52/685.78 = 392.43/x
  3. Step 3: Cross multiply
    497.52x = 685.78 × 392.43
  4. Step 4: Simplify right side
    497.52x = 269,120.65
  5. Step 5: Solve for x
    x = 269,120.65/497.52
  6. Step 6: Final answer
    x = 540.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.